Question

VA ROOOGAJUTORRRRRR!!!!PLSSSSSSS SUPER URGENTTT!MULTTT VA ROOOGGGHG
a.4,5
b.5
c.5,5
d.9
e.4​

Answer 1

Răspuns:

Explicație pas cu pas:

∡B=30°⇒ 2AC=BC

∡C=60°⇒ m(∡NCA)=30°=m(∡BCN)⇒ 2AN=CN

AN=18:2=9

Teorema bisectoarei

$\frac{AN}{BN} =\frac{AC}{BC} \\\\\frac{9}{BN}=\frac{AC}{2AC}\\\\\frac{9}{BN}=\frac{1}{2}$

BN=18 ( sau faptul ca ∡B=30° si ∡BCN∡=30°⇒ ΔBNC isoscel⇒BN=CN=18) ambele variante sunt corecte. tu decizi pe care o folosesti

AB=BN+NA=18+9=27

2AM=AB

AM=13,5

2MP=CP ( ΔMPC dr cu ∡30°)

ΔAPC isocel

AP=CP

ΔNPA isoscel

NP=AP⇒NP=CP=9

2MP=CP=9

MP=4,5